Poisson-generalized geometry and R-flux

Tsuguhiko Asakawa, Hisayoshi Muraki, Shuhei Sasa, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We study a new kind of Courant algebroid on Poisson manifolds, which is a variant of the generalized tangent bundle in the sense that the roles of tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect product of β-diffeomorphisms and β-transformations. It is a starting point of an alternative version of the generalized geometry based on the cotangent bundle, such as Dirac structures and generalized Riemannian structures. In particular, R-fluxes are formulated as a twisting of this Courant algebroid by a local β-transformations, in the same way as H-fluxes are the twist of the generalized tangent bundle. It is a three-vector classified by Poisson three-cohomology and it appears in a twisted bracket and in an exact sequence.

Original languageEnglish
Article number1550097
JournalInternational Journal of Modern Physics A
Volume30
Issue number17
DOIs
Publication statusPublished - 2015 Jun 20

Keywords

  • Poisson structure
  • String theory
  • generalized geometry
  • nongeometric flux

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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